Quy đồng phân số 14/16 và 24/21
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\(\dfrac{7}{15}và\dfrac{5}{13}=\dfrac{7.13}{15.13}=\dfrac{91}{195};\dfrac{5}{13}=\dfrac{5.15}{13.15}=\dfrac{75}{195}\)
\(\dfrac{11}{12}và\dfrac{7}{48}=\dfrac{11.4}{12.4}=\dfrac{44}{48};\dfrac{7}{48}\)
\(\dfrac{24}{35}và\dfrac{21}{7}=\dfrac{24}{35};\dfrac{21}{7}=\dfrac{21.5}{7.5}=\dfrac{105}{35}\)
\(\dfrac{15}{16}và\dfrac{7}{8}=\dfrac{15}{16};\dfrac{7}{8}=\dfrac{7.2}{8.2}=\dfrac{14}{16}\)
Lời giải:
$1+2+3+....+25$
$=(1+25)+(2+24)+(3+23)+(4+22)+(5+21)+(6+20)+(7+19)+(8+18)+(9+17)+(10+16)+(11+15)+(12+14)+13$
$=\underbrace{26+26+26+...+26}_{12}+13$
$=26\times 12+13=325$
a: 2/7=10/35
5/9=10/18
b: 7/8=14/16
14/5=14/5
c: 4/11=60/165
5/12=60/144
3/5=60/100
a: 2/7=10/35
5/9=10/18
b: 7/8=14/16
14/5=14/5
c: 4/11=60/165
5/12=60/144
3/5=60/100
ta co 16 = 24
24 = 23. 3
56 = 23.7
=> BCNN(16,24,56)=24.3.7=24.3.7=336
ta co: \(\frac{-3}{16}=\frac{-63}{336}\)
\(\frac{5}{24}=\frac{70}{336}\)
\(\frac{-21}{56}=\frac{-126}{336}\)
\(\dfrac{5}{7}=\dfrac{5\times3}{7\times3}=\dfrac{15}{21};\dfrac{6}{21}\)
\(\dfrac{20}{28}=\dfrac{20:4}{28:4}=\dfrac{5}{7};\dfrac{5}{7}\)
\(\dfrac{14}{16}\text{=}\dfrac{7}{8}\text{=}\dfrac{7\times7}{8\times7}\text{=}\dfrac{49}{56}\)
\(\dfrac{24}{21}\text{=}\dfrac{8}{7}\text{=}\dfrac{8\times8}{7\times8}\text{=}\dfrac{64}{56}\)
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